2006 Conant Prize

The 2006 Levi L. Conant Prize was awarded at the makes connections with other 112th Annual Meeting of the AMS in San Antonio aspects of group theory so in January 2006. that the subject becomes The Conant Prize is awarded annually to recog- more than just taxonomy. nize an outstanding expository paper published in Thus, he provides a glimpse either the Notices of the AMS or the Bulletin of the into a broad panorama of fi- AMS in the preceding five years. Established in nite group theory. The article 2001, the prize honors the memory of Levi L. Co- gives an unusual insider’s look nant (1857–1916), who was a mathematician at at the process of mathemati- Worcester Polytechnic University. The prize carries cal research, with its false a cash award of US$1,000. starts, insightful conjectures, The Conant Prize is awarded by the AMS Coun- and dogged determination. cil acting on the recommendation of a selection One sees different approaches committee. For the 2006 prize, the members of the go in and out of fashion and selection committee were: Noam D. Elkies, Carl R. sometimes return with re- Ronald M. Solomon Riehm, and M. B. Ruskai (chair). newed vigor. Finally, he ar- Previous recipients of the Conant Prize are: Carl gues convincingly that even if the classification is Pomerance (2001), Elliott Lieb and Jakob Yngvason complete, many avenues remain open for further (2002), Nicholas Katz and Peter Sarnak (2003), investigation. The exposition is enhanced by de- Noam D. Elkies (2004), and Allen Knutson and scriptions of the personalities of the many con- Terence Tao (2005). tributors and their interactions. Solomon has written a valuable survey, accessible The 2006 Conant Prize was awarded to RONALD M. to a broad spectrum of mathematicians, that is SOLOMON. The text that follows presents the commit- tee’s citation, a brief biographical sketch, and the both engaging and enlightening. awardee’s response upon receiving the prize. Biographical Sketch Citation Ron Solomon was turned on to mathematics by his The Levi L. Conant Prize in 2006 is awarded to high school geometry teacher, Blossom Backal. He Ronald Solomon for his article “A Brief History of fell in love with group theory as an undergraduate the Classification of the Finite Simple Groups”, at Queens College and had the great good fortune Bulletin of the AMS 38 (2001), no. 3, 315–352. to study with the masters—, David Gold- Solomon gives a remarkable overview of the schmidt, Richard Lyons, and Leonard Scott—while work on the classification problem, from its in- earning a Ph.D. at in 1971. The Na- ception in an 1893 paper by Otto Hölder to the re- tional Science Foundation Summer Institute in 1970 cent two-volume proof of the final theorem by was an unforgettable interlude. In the summer of Michael Ashbacher and Stephen Smith. Solomon’s 1972, he heard Danny Gorenstein propose his vi- article stresses key developments in a way that sionary sixteen-step program for the classification

APRIL 2006 NOTICES OF THE AMS 475 of the finite simple groups and spent two years as a Dickson Instructor at the , learning with Jon Alperin and George Glauberman, and climbing one of Danny’s steps. In 1974–1975, he made the first of several fruitful pilgrimages to , and then began thirty years (and counting) on the faculty of the Ohio State Uni- versity. His sons, Ari and Michael, were born in 1980 and 1982, and have filled his life with love, joy, in- tellectual sparring, and periodic tsurus. In 1982, he began an ongoing collaboration with Gorenstein and Lyons to write a series of monographs presenting a substantial portion of the proof of the classifi- cation theorem. Since 2004, he has been blessed with the love of his wife, Rose.

Response It is a great honor to receive the Levi L. Conant Prize from the Society. I am saddened that neither my mother nor Walter Feit nor Danny Gorenstein are alive to share the joy of this occasion. My mother deserves double credit. I learned my writing skills from her, and my teenage rebellion against her authority drove me into mathematics. Walter and Sidnie Feit have always been most complimentary of my skills at group theory exposition, and of course I learned much at the knee of that master expositor, Danny Gorenstein. A work of historical narrative can only be as good as its subject, and I had the advantage of a won- 2006 AMS Sectional Meetings derful theme. The saga of the taming of the finite simple groups is a great one, shaped by titans of April 1-2, 2006 the imagination from Lagrange, Gauss, and Galois Florida International University, Miami, FL to Thompson, Gorenstein and Aschbacher, with April 8-9, 2006 many other illustrious participants. It has been a University of Notre Dame, Notre Dame, IN rare privilege to be a friend and collaborator of the (features the Erdos˝ Memorial Lecture by latter-day titans, and to tell a bit of their story. My Béla Bollobás) thanks to you all for reading and enjoying the tale. April 22-23, 2006 University of New Hampshire, Durham, NH April 29-30, 2006 San Francisco State University, San Francisco, CA (features the Einstein Public Lecture in Mathematics by Benoît Mandelbrot) October 7-8, 2006 University of Utah, Salt Lake City, UT October 21-22, 2006 University of Cincinnati, Cincinnati, OH October 28-29, 2006 University of Connecticut, Storrs, CT November 3-4, 2006 University of Arkansas, Fayetteville, AR For more information, see http://www.ams.org/amsmtgs/sectional.html

476 NOTICES OF THE AMS VOLUME 53, NUMBER 4